What is 20.75 as a Fraction?

Learn how to convert 20.75 to a fraction with step-by-step instructions

Quick Answer

20.75 as a fraction is:

83/4

This is the simplest form of the fraction

20.75 Decimal to Fraction Calculator

Convert Any Decimal to a Fraction

Enter a decimal number to see its fraction equivalent

How to Convert 20.75 to a Fraction

General Method: Converting Decimals to Fractions

Follow these steps to convert any decimal to a fraction

Step 1: Count Decimal Places

Count the number of digits after the decimal point

Example: 0.25 has 2 decimal places

Step 2: Multiply by Power of 10

Multiply by 10 raised to the number of decimal places

0.25 × 100 = 25

Step 3: Create Fraction

Use the result as numerator over the multiplier as denominator

25/100

Step 4: Simplify

Reduce the fraction if possible by dividing both numbers by their GCD

25/100 = 1/4

Converting 20.75 to a Fraction

Let's apply the method to convert 20.75

1

Count the decimal places in 20.75

20.75
There are 2 digits after the decimal point
2

Multiply by 10 (100)

20.75 × 100 = 2075
Moving the decimal point 2 places right
3

Write as a fraction

2075/100
Numerator: 2075, Denominator: 100
4

Simplify the fraction

2075/100 = 83/4
Divide both numbers by their greatest common factor (25)

Final Result

20.75 = 83/4

Tips and Notes

  • The denominator will always be a power of 10 for terminating decimals
  • Each decimal place corresponds to multiplying by 10 (e.g., 2 places = 100)
  • Very small decimals like 20.75 often result in fractions with large denominators
DecimalFractionComparison
2.0758.3/4Smaller
20.7583/4Current Value
207.5830/4Larger
20758300/4Larger
2075083000/4Larger

Additional Information

Scientific Notation

20.75 can be written as 83 × 10⁻2 in scientific notation

Percentage

20.75 is equal to 2075.000% as a percentage

Common Calculations with 20.75

Quick Reference Guide

Common calculations and conversions with 20.75

Multiplication

  • 20.75 × 10 = 207.5
  • 20.75 × 100 = 2075
  • 20.75 × 1000 = 20750
  • 20.75 × 10000 = 207500
  • 20.75 × 4 = 83

Division

  • 20.75 ÷ 2 = 10.375
  • 20.75 ÷ 5 = 4.15
  • 20.75 ÷ 10 = 2.075
  • 20.75 ÷ 1/20.75 = 4

20.75 in Different Number Systems

Decimal

20.75

Scientific Notation

83 × 10⁻2

Percentage

2075.000%

Fraction

83/4

Parts Per Million

20750000 PPM

Binary

0.0111 0101

Real-World Applications of 20.75

Where You Might Encounter 20.75

Scientific Applications

  • • Microscopic measurements (20750000 micrometers)
  • • Chemical concentrations
  • • Statistical probability calculations
  • • Error margins in precise measurements

Engineering

  • • Manufacturing tolerances
  • • Electronic component specifications
  • • Quality control measurements
  • • Precision engineering